Question:
Statements:
I. Some vegetables are fruits.
II. No fruit is black.
Conclusions:
I. Some fruits are vegetables.
II. No vegetable is black.
Statements:
I. Some vegetables are fruits.
II. No fruit is black. Conclusions: I. Some fruits are vegetables.
II. No vegetable is black.
II. No fruit is black. Conclusions: I. Some fruits are vegetables.
II. No vegetable is black.
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For syllogisms, remember: the converse of "some A are B" is also "some B are A", which is valid. But conclusions must directly derive from statements; overgeneralizations don't follow.
Updated On: Aug 7, 2025
- only conclusion I follows.
- only conclusion II follows
- neither I nor II follows.
- both I and II follow
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The Correct Option is A
Solution and Explanation
Let’s evaluate each conclusion based on the given statements:
Statement I: Some vegetables are fruits.
This means there is at least one element common to both sets.
Conclusion I: Some fruits are vegetables.
This is the converse of Statement I, and converse of a "some" statement is valid in logic.
Hence, Conclusion I follows.
Statement II: No fruit is black.
This strictly applies to fruits only. It says nothing about vegetables.
Conclusion II: No vegetable is black.
This generalization cannot be concluded. Some vegetables might be black.
So, Conclusion II does not follow.
Hence, only Conclusion I follows.
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